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Finding the Fourth Proportional to 422,733.52, 583,379.77 and 229,147.57

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Solution

The fourth proportional to 422,733.52, 583,379.77 and 229,147.57 is: 316,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,733.52 : 583,379.77 = 229,147.57 : x
  2. Step 2: Convert to fraction form
    422,733.52/583,379.77 = 229,147.57/x
  3. Step 3: Cross multiply
    422,733.52x = 583,379.77 × 229,147.57
  4. Step 4: Simplify right side
    422,733.52x = 133,680,053,987.16
  5. Step 5: Solve for x
    x = 133,680,053,987.16/422,733.52
  6. Step 6: Final answer
    x = 316,227.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.